Pack Animals- Absolutely an asset if you AND them are experienced. I take everything from mules to llamas to goats depending on situation. As far as traveling its not bad, coggins/ health ($10 at the sale barn) and brand papers. As a general rule about 10 hours is all you should travel without unloading and letting em drink/ walk around. Tied or loose let em out. Hauling wears out way more rope horses than the runs do. Stopping along the way there can be a pain if you don't know where you can stop and pen em/ tie em up. Using a trailer can be great place to sleep in grizzly country, but you also have more shit that can go wrong. 2-4 more tires, lights, sketchy ass roads to the good trail heads, so on.
Burros- I have zero experience with burros/ donkeys for packing. I would assume they are like taking horses and you have pack in feed. (goats and llamas not so much) With horses and Mules and donkey they need a lot water and often so that's a PITA. In 30 years of backcountry experience I have never seen a Donkey train. (except that one time in Mexico visiting boys town lol). I'm assuming GA is not near as rocky as the west. So their feet will get sore AF if you don't have shoes on em. I've never seen a shod donkey, and that's another problem, you throw a shoe and don't know how/ have to tools to tack one back on its like having a flat on your truck. You will make it for a while but not far. No clue what they can carry weight wise but I'm guessing its around the same as a llama for those distances and terrain.
Summary- IMO if you want the headache of donkeys you might as well spring for Mules or Llamas. The easiest and cheapest (and most of the time best option) is goats. They take 6 months to get in shape it seems but they are little studs! No clue of your backcountry and or pack animal experience so don't take this personal. Mules/ Horses (donkeys) would not be my suggestion for a low experienced person with pack animals. Especially solo.